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231002120 = 23517615569
BaseRepresentation
bin11011100010011…
…01000000001000
3121002200010100002
431301031000020
5433114031440
634531102132
75503325366
oct1561150010
9532603302
10231002120
11109438348
1265441948
1338b2045b
1422972636
1515430115
hexdc4d008

231002120 has 64 divisors (see below), whose sum is σ = 559450800. Its totient is φ = 85524480.

The previous prime is 231002113. The next prime is 231002153. The reversal of 231002120 is 21200132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32924644 + 198077476 = 5738^2 + 14074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38696 + ... + 44264.

Almost surely, 2231002120 is an apocalyptic number.

231002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279725400).

231002120 is an abundant number, since it is smaller than the sum of its proper divisors (328448680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231002120 is a wasteful number, since it uses less digits than its factorization.

231002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 231002120 is about 15198.7538962903. The cubic root of 231002120 is about 613.5811209994.

Adding to 231002120 its reverse (21200132), we get a palindrome (252202252).

The spelling of 231002120 in words is "two hundred thirty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 5569 8296 10370 11138 20740 22276 27845 41480 44552 55690 94673 111380 189346 222760 339709 378692 473365 679418 757384 946730 1358836 1698545 1893460 2717672 3397090 3786920 5775053 6794180 11550106 13588360 23100212 28875265 46200424 57750530 115501060 231002120